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Finding the Fourth Proportional to 16,085.98, 24,095.76 and 11,930.68

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Solution

The fourth proportional to 16,085.98, 24,095.76 and 11,930.68 is: 17,871.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,085.98 : 24,095.76 = 11,930.68 : x
  2. Step 2: Convert to fraction form
    16,085.98/24,095.76 = 11,930.68/x
  3. Step 3: Cross multiply
    16,085.98x = 24,095.76 × 11,930.68
  4. Step 4: Simplify right side
    16,085.98x = 287,478,801.92
  5. Step 5: Solve for x
    x = 287,478,801.92/16,085.98
  6. Step 6: Final answer
    x = 17,871.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.